International Journal of Control, Automation, and Systems

Institute of Control, Robotics and Systems (제어로봇시스템학회)
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Design of Generalized Minimum Variance Controllers for Nonlinear Systems

  • Grimble Michael J. (Industrial Control Centre, University of Strathclyde)
  • Published : 2006.06.01
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Abstract

The design and implementation of Generalized Minimum Variance control laws for nonlinear multivariable systems that can include severe nonlinearities is considered. The quadratic cost index minimised involves dynamically weighted error and nonlinear control signal costing terms. The aim here is to show the controller obtained is simple to design and implement. The features of the control law are explored. The controller obtained includes an internal model of the process and in one form is a nonlinear version of the Smith Predictor.

Keywords

References

  1. K. J. Astrom, Introduction to Stochastic Control Theory, Academic Press, London, 1979
  2. D. W. Clarke and R. Hastings-James, 'Design of digital controllers for randomly disturbed systems,' Proc. of IEE, vol. 118, no. 10, pp. 1502-1506, 1971
  3. M. J. Grimble, 'A control weighted minimumvariance controller for non-minimum phase systems,' International Journal of Control, vol. 33, no. 4, pp. 751-762, 1981 https://doi.org/10.1080/00207178108922953
  4. M. J. Grimble, 'Generalized minimum-variance control law revisited,' Optimal Control Applications and Methods, vol. 9, pp. 63-77, 1988 https://doi.org/10.1002/oca.4660090106
  5. D. W. Clarke and P. J. Gawthrop, 'Self-tuning controllers,' Proc. of IEE, vol. 122, no. 9, pp. 929-934, 1975
  6. G. Goodwin, O. Rojas, and H. Takata, 'Nonlinear control via generalized feedback linearization using neural networks,' Asian Journal of Control, vol. 3, no. 2, pp. 79-88, 2001 https://doi.org/10.1111/j.1934-6093.2001.tb00047.x
  7. M. J. Gimble, 'Restricted structure LQG optimal control for continuous time systems,' IEE Proceedings of Control Theory Applications, vol. 147, no. 2, pp. 185-195, 2000 https://doi.org/10.1049/ip-cta:20000143
  8. M. J. Grimble, Industrial Control Systems Design, John Wiley, Chichester, 2001
  9. M. J. Grimble, 'Restricted structure controller tuning and performance assessment,' Proc. of IEE, Control Theory and Applications, vol. 149, no. 1, pp. 8-16, 2002 https://doi.org/10.1049/ip-cta:20020098
  10. M. J. Grimble and P. Majecki, NGMV Control of Multivariable Systems with Common Delays and State-Space Disturbance Model, Research Report 212, January 2004
  11. M. J. Grimble, 'Non-linear generalised minimum variance feedback, feedforward and tracking control,' Automatica, vol. 41, pp. 957-969, 2005 https://doi.org/10.1016/j.automatica.2004.12.009
  12. W. H. Kwon and A. E. Pearson, 'On the stabilization of a discrete constant linear systems,' IEEE Trans. on Automatic Control, vol. AC-20, no. 6, pp. 838-842, 1975